Water flows under the inclined gate shown below. The width of the gate into the page is 8.0 m. Z1 II 0 a Fx + Z2 II (i) (3 marks) On the schematic above, sketch any relevant control volumes and indicate any specific points you are considering in this problem. Comment on why you choice the particular region and/or points (1-2 sentences). (ii) (2 marks) If the distance between the ground and the bottom of the gate is a = 1.5 m, and the flow has a contraction coefficient of Cc = 0.6, what is the flow depth 22 downstream of the gate? (iii) (4 marks) If the incoming flow has a depth 21 = 5.0 m, what are the flow speeds upstream and downstream of the gate? (iv) (4 marks) What is the horizontal component of the force keeping the gate in place? You can take 31.03. (Hint: Think about how we treated hydrostatic pressure forces when we thought about curved surfaces.) (v) (2 marks) Revisit your solution to (iii). What would happen if a < 2?